A strategy for the off-shell analysis of collinear singularities in Feynman diagrams
Alessandra Repetto
TL;DR
This paper introduces a novel method combining Speer sector decomposition and Mellin-Barnes transform for off-shell singularity analysis in Feynman diagrams, demonstrated on one-loop Deep Inelastic Scattering corrections.
Contribution
It presents a new approach for analyzing collinear singularities off-shell using sector decomposition and Mellin-Barnes transform, applied to quantum field theory calculations.
Findings
Effective off-shell singularity analysis method
Application to one-loop Deep Inelastic Scattering
Enhanced understanding of collinear singularities
Abstract
In my PHD thesis I present a method for the off-shell singularity analysis of Feynman amplitudes based on the Speer sector decomposition of the Schwinger parametric integrals combined with the Mellin-Barnes tranform. I apply the method to one-loop corrections to Deep Inelastic Scattering.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Black Holes and Theoretical Physics · Algebraic and Geometric Analysis